814017961 has 9 divisors (see below), whose sum is σ = 824975991. Its totient is φ = 803204712.

The previous prime is 814017959. The next prime is 814017973. The reversal of 814017961 is 169710418.

The square root of 814017961 is 28531.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 140304025 + 673713936 = 11845^2 + 25956^2 .

It is not a de Polignac number, because 814017961 - 2¹ = 814017959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 814017961.

It is not an unprimeable number, because it can be changed into a prime (814017901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2938555 + ... + 2938831.

It is an arithmetic number, because the mean of its divisors is an integer number (91663999).

Almost surely, 2^814017961 is an apocalyptic number.

814017961 is the 28531-st square number.

814017961 is the 14266-th centered octagonal number.

It is an amenable number.

814017961 is a deficient number, since it is larger than the sum of its proper divisors (10958030).

814017961 is an frugal number, since it uses more digits than its factorization.

814017961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The cubic root of 814017961 is about 933.7085360378.

The spelling of 814017961 in words is "eight hundred fourteen million, seventeen thousand, nine hundred sixty-one".